Answer to Sign–charts of Factorable Functions

(x – 2)(x + 3)2

0+ + – –1.

– –

–3+ +

(x + 3)(2 – x)2

0+ + – ––33. –

–x (x + 3)

0

+ + – –5. –3– 0

: where f = 0

(x + 3)2+ + 7. –3

0

+ +

+ + – –1/2 39. + + – – x (2x – 1)(3 – x)

0 + + – –1/2 311. – – x (2x – 1)(3 – x)

0 + + 1/2 313. x (2x – 1)(3 – x)+ + + + + +

–1 0 315. x2 (x – 3)(x + 1)+ + + + – –– –

: where f is UDF

Answer to Sign–charts of Factorable Functions

19. –2 + + 3 4+ + – –

: where f = 0 : where f is UDF or excluded

– – (x – 4)(x + 2)

(3 – x)

(x – 2)(x + 3) ≥02

0+ + 21. –3+ +

(x + 3)(2 – x)2

0 – ––323. –

–x (x + 3) ≤0

0

– –25. –3– 0

x2 – 4 > 0

27. + + 1/2 3

29.

+ + x (2x – 1)(3 – x) > 0

31.

≤0

(x – 3)(x + 1) > 03

0+ + –1+ +

2

0+ + –2+ +

33.2

0

–3

UDF

UDF – –(x + 3)(x – 2)2

≤0

35. –2 3 4 – –– – (x – 4)(x + 2)

(3 – x)≤0